Works Published in 1991

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Displaying works 41 - 52 of 52 in total

Sorted by most recent date added to the index first, which may not be the same as publication date order.

1991 journal article

Comments on 2-D descriptor systems

Automatica, 27(1), 189–192.

By: S. Campbell n

author keywords: BOUNDARY-VALUE PROBLEM; DIFFERENCE EQUATIONS; DISCRETE SYSTEMS; MULTIDIMENSIONAL SYSTEMS; LINEAR SYSTEMS
TL;DR: This paper discusses general 2-D descriptor systems of the form Ex i +1, j +1 and shows that these systems include several types of behavior not discussed elsewhere in the literature. (via Semantic Scholar)
Sources: ORCID, Crossref, NC State University Libraries
Added: August 18, 2019

1991 journal article

A New Proof of Superlinear Convergence for Broyden’s Method in Hilbert Space

SIAM Journal on Optimization, 1(1), 146–150.

By: C. Kelley* & E. Sachs

author keywords: Broyden's method; superlinear convergence; collective compactness
TL;DR: A new and much simpler proof of the Broyden iterates converge locally superlinearly to a root theorem is given based on the concept of collective compactness. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Fast Algorithms for Compact Fixed Point Problems with Inexact Function Evaluations

SIAM Journal on Scientific and Statistical Computing, 12(4), 725–742.

By: C. Kelley* & E. Sachs

author keywords: COLLECTIVE COMPACTNESS; PARABOLIC CONTROL PROBLEMS; METHOD OF LINES; QUASI-NEWTON METHODS
TL;DR: This paper shows how a multilevel technique of Atkinson can be modified to attack parabolic boundary control problems, discusses how quasi-Newton methods can improve performance, and shows how this approach can be applied to parabolic boundaries control problems. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Sequential quadratic programming for certain parameter identification problems

Mathematical Programming, 51(1-3), 281–305.

author keywords: SEQUENTIAL QUADRATIC PROGRAMMING; PARAMETER IDENTIFICATION
TL;DR: It is shown how the discretization can be constructed so as to preserve the convergence behavior of the iterates for the infinite dimensional problem in the finite dimensional approximations. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Pointwise quasi-Newton method for unconstrained optimal control problems, II

Journal of Optimization Theory and Applications, 71(3), 535–547.

By: C. Kelley n, E. Sachs* & B. Watson*

author keywords: QUASI-NEWTON METHODS; OPTIMAL CONTROL
Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

Mesh Independence of Newton-like Methods for Infinite Dimensional Problems

Journal of Integral Equations and Applications, 3(4), 549–573.

By: C. Kelley* & E. Sachs

Sources: Crossref, ORCID
Added: July 28, 2019

1991 journal article

On a numerical algorithm for nonlinear differential equations describing some processes in photoreceivers

Journal of Mathematical Modeling, 3, 95–103.

By: A. Chertock, Y. Karamzin & V. Trofimov

Source: NC State University Libraries
Added: July 28, 2019

1991 journal article

Kinetic-Consistent Finite-Difference Schemes in Curvilinear Coordinate Systems

Differential Equations, 27(7), 1161–1169.

By: T. Elizarova, S. Tsynkov & B. Chetverushkin

Source: NC State University Libraries
Added: July 28, 2019

1991 journal article

Theory of wave activity occurring in the AMPTE artificial comet

Physics of Fluids B: Plasma Physics, 3(7), 1728–1738.

By: R. Bingham*, V. Shapiro*, V. Tsytovich, U. de Angelis*, M. Gilman* & V. Shevchenko*

UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Crossref
Added: July 28, 2019

1991 chapter

Some Remarks on the Generalised Bareiss and Levinson Algorithms

In Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms (pp. 189–214).

By: I. Ipsen*

TL;DR: It is shown in this paper that the generalised Levinson algorithm is a direct consequence of the generalisation Bareiss algorithm, thereby considerably simplifying its presentation in comparison to previous work. (via Semantic Scholar)
Sources: Crossref, NC State University Libraries
Added: July 27, 2019

1991 report

Perturbation Theory for the Solution of Systems of Linear Equations

By: S. Chandrasekaran & I. Ipsen*

Sources: Crossref, NC State University Libraries
Added: July 27, 2019

1991 journal article

The Sinc-Galerkin Method for Fourth-Order Differential Equations

SIAM Journal on Numerical Analysis, 28(3), 760–788.

By: R. Smith*, G. Bogar, K. Bowers & J. Lund

author keywords: SINC-GALERKIN; 4TH-ORDER DIFFERENTIAL EQUATIONS
Sources: Crossref, NC State University Libraries
Added: June 30, 2019

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